REVIEW 4 cited by
Taylor conditions over finite fields
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We extend Poonen's Bertini theorem over finite fields to Taylor conditions arising from locally free quotients of the sheaf of differentials on projective space. This is motivated by a result of Bilu and Howe in the motivic setting that allows for significantly more general Taylor conditions.
Forward citations
Cited by 4 Pith papers
-
Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci
Random hypersurface sections over finite fields are shown to avoid positive-dimensional singular loci with probability at least 1 - O((d+1)^r p^{-ceil(d/2)}), proving Poonen's arithmetic Bertini conjecture.
-
Hyperplane anti-Bertini embeddings over finite fields
For any nonempty smooth quasiprojective pure positive-dimensional variety X over F_q, sufficiently high-dimensional linearly nondegenerate embeddings exist such that every F_q-rational hyperplane section is singular.
-
Equidistribution and arithmetic $\Lambda$-distributions
A general equidistribution hypothesis is shown to imply that asymptotic Lambda-distributions of function field zeta and L-functions are motivic Euler products, yielding new complete-intersection and curve-family computations.
-
Bertini theorems for Hilbert-Samuel multiplicity over finite fields
Proves existence of positive-density hypersurfaces over finite fields intersecting a reduced equidimensional quasiprojective scheme X such that multiplicity e_P is preserved at all closed points P of the intersection.
Discussion (0). Continue with ORCID to comment.